{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "from scipy.stats import norm, skew\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "sns.set_style('darkgrid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = pd.read_csv('train.csv')\n",
    "test = pd.read_csv('test.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The train data size before dropping Id feature is : (1460, 81) \n",
      "The test data size before dropping Id feature is : (1459, 80) \n",
      "\n",
      "The train data size after dropping Id feature is : (1460, 80) \n",
      "The test data size after dropping Id feature is : (1459, 79) \n"
     ]
    }
   ],
   "source": [
    "#check the numbers of samples and features\n",
    "print(\"The train data size before dropping Id feature is : {} \".format(train.shape))\n",
    "print(\"The test data size before dropping Id feature is : {} \".format(test.shape))\n",
    "\n",
    "#Save the 'Id' column\n",
    "train_ID = train['Id']\n",
    "test_ID = test['Id']\n",
    "\n",
    "#Now drop the  'Id' colum since it's unnecessary for  the prediction process.\n",
    "train.drop(\"Id\", axis = 1, inplace = True)\n",
    "test.drop(\"Id\", axis = 1, inplace = True)\n",
    "\n",
    "#check again the data size after dropping the 'Id' variable\n",
    "print(\"\\nThe train data size after dropping Id feature is : {} \".format(train.shape)) \n",
    "print(\"The test data size after dropping Id feature is : {} \".format(test.shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据处理\n",
    "### 离群点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'GrLivArea')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.scatter(x = train['GrLivArea'], y = train['SalePrice'])\n",
    "plt.ylabel('SalePrice', fontsize=13)\n",
    "plt.xlabel('GrLivArea', fontsize=13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'GrLivArea')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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vLOeW2komk67r/d98/9NccccjjE8WPNTveIT9F2Z5y/KDa36Na7Y+Efip/FsP7GI6XjwB4KBFPTWrt5vvf5qNdzzMM3vGSacILFc573/eiYdF5uU6aFEPT++Z36td7j1W87t03omHsf/C7Ox9H7Soh/WnHRn7d6KV1PtvrhFi7/zonHvJzMrZKRK87YdzZnYq8Hq8/VcOLHi9F9gNjOa/Lj4+U+W5kaanc3PWH3Sa4vUXtXbl7W42GPjGJ2e48nY3Z3Fhra4R9PCE4Ad3mJ6uNCcu6WfVZ7+feALE4pZUULl6utJcsHJx2f9uYa27C1YuDmwllPse1f4urV7cz+r3nzDnWDv+bdb7b65WBgZ6Q18rFSRS1byx38oBMLMfABcAV5rZyc65HwBrgO8DjwKfzbeGXg2knXPPm9l9VZ4rTSSJrpZKrxE1PTWdInAWV7Gh3iwrDz+AWx96tiYJEIPGN/zy5XKU3dXnB5G+ni5emphiKn+PQWVu5SzBynLcXEoFlS4zW8O+4FL8Pc6528p8z/XAdWa2H7ADuME5N21mW4C78SYPrEvi3DLLJTWWREqOUtcIe8BEDTwf++o+7nlqNNb73/GL52o2/TUsMOZysH396sDXghS3ePaMT807pzj9Sqs+hJXluPmkcrnwj2hmthNvim6YnHPu8ITLVDeTk9O5dmiKVqreTfHiBwB4XS3lzJgKu8ZZRx3IHb94jtGJuZmEutMpFnSn5x0v1NOVDmwhlCNFeQ/+IGdfuy0wYA71ZkNTq5RznWJJlNnXqG6dpOqsXtqo++teIHA2cKmEkktqUSDpTEl0tQRdo7hLqtDkTI7JiICSThH4c0P5lk+chzMkM/01qVlQcbsT22HKbjPMXpO5Yg+8m1k/8Ha8cYyrgOOdcxq3kLIk0dVSfI1TvrC1opZGVAulnIdSUtNfkxrfiNrl0dcuU3aV5bj5xAoqZnY8cBvwM+B4vJXrN5nZhc65L9WueCLRhneMRHZthRnKP7A3bdkZ+VAq9XAeSnhguJKgWzyOFNRy87sBxyam22owW2tcmk/clsrngQucczea2YvOuZ35AfvrAQUVaZhKVn4X97cXP5QA9r4yxWmvG+DG+3eFXiedouH99kED1bc+9CxnHXUgWx9/salnRCUxa6sdZq+1m7hB5XXsW52eA3DObc3n9BJpmHL7zos/xfoPn43fe2zOLKnRiWlufehZFnSleHkqeK7KuUcPlV/gCkQ9fMPSrGx9/MWGB7woSc7aauXZa+0obur7R/ASOM4yszcDDydeIpEylNN33pfNBM40W7NskAXd8/dvH5+aoTuTpqd7/p/J8Yf2sfyQRZF7zCe1j33UniitOlDdDDnHpDbitlQuAm4xs+8BC83seuBs4B21KphIHGF96uV2/4Q9hMcmprnq7Udz5e1uzrWAyE/alX4SL26V7H1lKnJdTKsOVLdqMJTSYgUV59xdZvbbwHnA08AzwArn3KO1LJxIKbWeMTXY6+UUK04Bc/a12yIf9nH2CCk1wB41ScB/+AYFVfDGhIZ3jMyph2Zaed6qwVBKKyf315PAZ2pYFpGKJNGnXs4souEdI6EPfP9hX+qTeFBLJmpSQDH/4Rs1JpREy6lWNGurfUUGFTN7jugV9TjnNFgvDVftp/BydmL0H8ZB/Id9qU/iYXm+4lp5+AFzyr5py8556VjGp2a46ruPxm451ZNmbbWvUi2Vt9elFCJVqOZTeLnBKCoY9HSlWXn4AaGpQwo/iVc7dvDNB3bxjft3zZY57HqjE9MM7xhpyjEMzdpqT6XStPww7DUzywDLEi+RSJkq/RReSTCKegifddSBoeli+rIZUqkUl97m2LRlJ73ZTEWLNn0zRRmHs5kU4yE5/Ddt2akxDKmbuCvq3wL8LXAIc9Phv4S3aZZI3RS3LsLGN4KOF/5sKiDlfalgFPZ+Q71Z7nTPhwaUV6ZzjE9Nz5arO52iKwUhS2DKMj41E7lHxa6xCS4/0wLHMPyWlbqgJClx16lcibcl8IXA14GTgS3A5bUplkiwoHUbYdJFT9rinw3bQyWqNRK27/vKww8ITDEPXhdUcbCZnMmxf7ZrNnFlteLEpg2nL2WoN0sKLwj6LauwNTAilYg7++sQ4NPAa4B3O+e2mNm78TbCuqpWhRMpVs4A90zOm/rrj2NcNuxibcYV1SUUNsBcyaK90fEp7lz3RoZ3jHDJbS70vBSlg0apjcY2bdnJLeevmNMKKTUtul6aaaqzVC9uUHkG2B94CjjCzFLOuaeUpkXqKWoqb5hdYxNcng8mcedaHdqfndMldPEZNmedSvEAc6lyLerpCmzFFE4LjgoqXekUkyWi4blHD4WO58Dcqcz+AzzsivUcvG+2qc5SvbjdX3cANwGLgG3ARjP7K2BnjcolMkepqbxRpsoIKAD3PDU6p0to/Q0PcOrVPw7sFipVrr5shvVvfm1gl1nhmoyobrBSAaUnk+Ijpx7JhtOXho6t9PV0zev+C1PPwXula2k/cYPKX+B1deWAtcBRwO8C59eoXCJzVLuuo1p7xqcCxxuiytWVgotOOYI1ywbnjWcU5yCrZtHfdI7Z1fO92fk5zAByuVysOqz3AsRmnOos1SkZVMzsXOAc59xf5s//a8CAn+b/E6m5ZnjIBH2CjirX/tmu2F041XT1TM7kZssVNk15bGI6sqxhwa7WwlpFmurcukqtqH8f3syvi/OHvgAcCvw5cAHwCeDSEtfIANfhBaJp4L14v8PX47V8HgTWOedmzOxSvGzIU8CFzrntZnZEtefGrQxpXnF2M6yH4jJElWs0P44Sd9xgqIp7HBmbiJy1FbXpWF82w0WnHMGmLTtn19HUa7Bc6VraT6mWyp8C5zrnvmRmC4G3Ah9yzn0TWAe8O8Z7nA3gnFsJXAJ8Lv/fx51zq/ACzDlmdgxwErACeCdwdf7nqzo3RvmkBQRN5U1CTybFop4uUsyfghyk+Jyoh19USpagVk819zjYm40ch1i7asmc1C6FRiem+dR3Hm7I1OI4XYPSWkrN/jrcOXdX/usT8FoAPwJwzj0aZ/aXc+5bZvbt/LeLgRG8Foa/Wn8YOB1wwGbnXA540sy6zGwAOLbKc/3NxaSFrVk2yP2/2lNW0sUU0TOnFvV0cee6N85+X9yiCFJ8qahy+Q/xuOMGxdOVgxZnBvE/2V8aMYPMz/8VpriO6jm1OOl0LZqi3Filgsq0me3nnHsFb8Hj9vzX5B/iL8V5E+fclJn9E3AuXj6x38sHBIAxvFllfcALBT/mH09VeW6oTCZFf//COLfQljKZdEvd/907d5d1fv/Cbtb81hBf2/5U4Ouj41Nz7v+8Ew9j/4VZ1t/wQOg1D17UM6/OPv3215PNPsS/bH9qzqyqW3/+LG9ceiAHLerh6T3jgeUrvtZ5Jx7GeSceBsDN9z/Nx256kPHJgq6h7jS/c2g/dz/+69ljE1Mz/OL5vaHv45e53HGpkbGJ2L8fzfK7dPP9T3PFHY/M1tmusQmuuOMR9l/obWHQaM1ST7VUKqjcBVxkZl8D/gBvr3rfBva1Ckpyzv2hmX0Yb0rygoKXeoHdwGj+6+LjM1WeG2p6Osfu3Xvj3kLb6e9f2PT3P7xjZF5a97he3DvJN/79V6GvD/Zm593/6sX9kWMbF6xcHFhn39vx7LxpuuOTM1x5u2PtqiVcdpubN6157OVJ/uXuX86mpg/6dL3htKXz9lz5RlGrKAd8bftTHH9oH79+6ZV54xN+mcsdl+rr6WLVZ7/PrrGJ2cWVQyGf/Jvld+nK292cIAz7/h2K98RphGapp2oNDPSGvlaqA/di4I+Ax4An8FK1YGaPA+8CPlbqzc3s3Wb20fy3e/Ee/D81s5Pzx9bgpXzZCpxhZmkzew2Qds49D9xX5bnSxKK23B3eMcKnvvNwRQHFF5VROGw8JGzsYUGXlxAyaGvgUl1cQaWYynldXVFbBq9ZNsgt56/gk2caADfevyt0jcm9/280cnxi7aoldAcMHKVg3vHudIqXJqZmg1BxAstmTeWiKcqNVypL8SP5GVWvcs49V/DSR4A7nXO/DvnRQt8A/tHM7gK68fKH7QCuM7P98l/f4JybNrMtwN14wW5d/ufXV3NujPJJgwTNirrkNscVtz9MtjtTVTAplawxWzAgXthK6M1meHlyfghIAS/nL+iX86rvPjq7DqUvZNV8X09X5FjGyNhEySzLccZ6wHvwR41PBG3o5c/8grmpZ/a+MhU6PbmR+7CUomzMjZfK5RJIk9qiJienc+3QFK1Uo5viYfuO1EtPV5rfPug3uOep0aquEyc3V5ih3mxoypQUsH396rLqKax7qlwnbLwr8p78svka/bvkCwrAPV3ppplR1iz1VK2Bgd57geOCXkt+jqZITI3ukhifmqk6oEDlAQW8LqlSCwDLqaekuqdKfbJv1k/+mqLceLH3qBdJWrMsaGykq777aOCUZ3/MZ3jHCKkUlNOh4G8jXM202pWHHxA6fbvZFydqR8nGUktFGqZWCxpbyejE9LwxnL5shg2nLwXgis2PxFqrEnTdahYzbn38xcDj6RT65C+ROvsvWhpqzbJBzjqqs3ZPiLNq32+5XDbsEkuiWW7m37Aut1xOKeklmrq/pKHCPhHXQiblZfRtpDitjpcnZ2b3gAnjD/D39XTx0sRUrG2Jw7oag9bIaBaVVEpBRRJXTpqMWg/W+w2Dvp6u2QSPrSAqSAz1Zrnl/BWz3xfXd9hssqBWUliyS3+rYSV6lHIpqEiigh5Slw87Nn7vMUbHp+YFmXoM1vvTcqtZ99IserrSrDz8gDk7U65dtWROkDl+412BPxvU8glbI7P18RfZcPpS5dCSsimoSGKGd4wE7gM/lWP2gV6c9j1qllESKpmW26zSKea1IILS6EelmfFX6fvCzts1NqFZVFIRDdRLIvwWSpwxA3/QeHjHCLc+9GxNy+V319R6LGBBV4oF3bX7c+pKwWVrjK2Pv1gyjX5UF1XxYH3YxIE4EwoKU+ycdNUPmjZ1i9SXgookotztfsPSkyRpQVeKS25zHL/xrpp3sb08lQtM75IUfxfJUrmt/AScYYp/PuxDQKkPB8X5yp7eM97UOcGkftT9JVXxB4nLfWj7A8q19HKcKVEtwp9kEDUry0/AGbZ/jH9eobCusqESLbtS+coKaX+TzqKWilSs8NNquaLSk8h8fl0FLRj1Z2Vt2rIzMqAEzd6Kul6UuNmAozIwS3tSUJGKVdp91ZNJVdS66VSFD/mo3FalWn5BK+ErzZVVKl+ZL+5WytI+1P0lFauk+yqFtwBRASVaOp/vK6i7KGxWVtT07KHebGRK/HK7o9auWhKYDbi4haP9TTqPgopUrJI1Jjnm74cuc3Wl4JI1VtGDPmhMpSsVPSOsEn7Z/LGSgxb1cMHKxfPKrJX5nUdBRSoW9GlVquNvmlXJQHbUJly1GBgvbOGE7RMSt0Uj7UNBRSpW+GlV3VnVuadgw6tqNNuCxeIWjWZ/tT8FFalI8TRRqVyp6butrtkCndSWgoqU7dN3PjwntUo5rZQ0oM6yfdQVJO1GQUXKMrxjpKpcXZ0SUFLAJ8+0yDGnSje8apXFhK1STklWTYOKmXUDXwKWAFngL4GfA9fjTQR6EFjnnJsxs0uBs4Ap4ELn3HYzO6Lac2t5f51I6wviGSyYwls4cF7o3KOHKgooQanqYe7mWY1+oAe1ZoPKWYlG35tEq/Xixz8AXnDOrQLWAF8APgd8PH8sBZxjZscAJwErgHcCV+d/vqpza3xvHUnrC0rrTqfmLFa8c90bedvyoXnn3frQs2WvLI+zmLDRq9jDWrNJLHps9L1JabUOKl8HPlHw/RRwLPDD/PfDwKnAm4DNzrmcc+5JoMvMBhI4VxLiZ6TVCpPScrn5tRS0w2UlD9mwoL5rbIKzr902m1CykavYo96n2g8lWqHf/Gra/eWc+08AM+sFbgA+DlzlnPP/6saARUAf8ELBj/rHU1WeGymTSdHfv7CCO2sPmUy65P3ffP/TfOrWn7P75dbf4KpepnJwzdYnOO/Ew2aPRa0sL+d38KBFPTy9ZzzwtV1jE1xymwv92XLfqxyFv0tRgeOgRT1VlSGpemyUOM1Wnh8AABEWSURBVH9zra7mA/VmdijwTWCTc+5rZvbZgpd7gd3AaP7r4uMzVZ4baXo6F7hgq1OELVjzFfffS3zP7BmfU7dRK8vL+R28YOXiiv9Nyn2vchT+LkVlWrhg5eKqypBUPTZKqb+5VjEw0Bv6Wk27v8xsENgMfNg596X84fvM7OT812uALcBW4AwzS5vZa4C0c+75BM6VAH5X1pGf+M5sl0mQWu930u6O33gXx2+8i1O+sJWVhx9QUTbgYoUJIMtVr6nLQZmPAd62vPyJCXGurWnZzaXWLZUNwAHAJ8zMH1v5IPB5M9sP2AHc4JybNrMtwN14gW5d/tz1wHWVnlvje2tJwztGuHzY4W814u8hD/Nn5WiVfOUKR1VGJ6a56YFdnHP0EFsff7HqWUv+YsKzr90W+9+oL5up2wypWq6i1wr95pcKGlTsFJOT07l2aIqW45QvbGV0Ynre8b5shu9+YOXs98VTQqV6Q71Zbjl/RWLXi9s92dOVrmg9TDnapVun1tqlngYGeu8Fjgt6TYsfO0xQQPGPn33tNlYefgBbH39RrZQAKaA3m+HlyZmKMi0XDjLHXWsRdV6c3Gu1TCgpEkRBRWbtGptQ6ySC/1CHypJo+jnSylnAWOq8wrxaWhQozUBBpYMM7xghBVprUiH/ob7h9KWz3VjFD/KVhx/AzT8bidzTJO7+7uXsAw9K3CjNQUGlQ/ifehVQqhP1UAdYfsgilh+yKHJPk1K7IfqBKqwlVEk3mki9KKi0iaCHC+ybJZNKgTZcTEbhwz+oe2rD6Uu5c90b5/2c/28U9s8w2JuNNfhebjeaSD0pqLSBoIfLJ4cd0wVPrw6e5Jc4/6FeTvdUqWDhr7UotTaopyvNysMPCJ1OXKolJVJrCiptIOhBNK0gUhOFC+2iurGKW457X5kKDRZDBd1Wl0akWRnKj9nc+tCzkYFHST+lkWqdUFLqQNN/6yMFnHXUgbOtgLAdL3uzmXmZdMOmcqeAW85fUfKa/hqXrY+/WHJdinbilEZSUJGOt6A73p9BDrjpgV2zaW3CUoakUqnY6W2KA0CpNCSlWiFKWSKNpu6vFqd9JKo3Phk/v9lUztt0y+/a6uvpglyO8Xx/Y7YrHbghV5CgAFAqDUlUssYhzf6SJqCg0mLW/tt/cM9To40uRlspd/hpz/jUbOAoDiBxAwrAfplU4PGo9SZrVy2Zk7vN528MpoAijaburxaigNJeRiem5+xa6GePPmHjXaHZo9csG2T/7PzPgpMzOW1UJU1BLZUWooDSWoYiuqp8hbsWxl1zMhrSGtKsL2kGaqm0CI2dtBZ/ttY961dz+ZkWuf/JrrEJLht2sbfJDZvdpVlf0gzUUmlihWsdUsHd79KEihcopmNkMwh7Paj1sXbVknkLKTXrS5qFgkoTGt4xMid3FGhFfKMt6ukKHIRPp+Dcos23ihcoVpMeJ6j1oY2qpJkpqDQZ7QtfO90pWJgNDg5R+hd08Re/+9rA1kHQ5ldnX7stkX+/qNaHMhJLs1JQaTLaF752JnNwqr2qZJqTQl0p+MRZv8nqxf1AcOugOCVLEhkOUlDz3RpFakFBpcko5UptbX38RTacvpSrvvtoaOqUdMrrbvQDx1uWH8zu3XsDWwdByTzL0Z1OMT2TozjEhSxhEWl6dQkqZrYC+Ixz7mQzOwK4Hm/N2YPAOufcjJldCpwFTAEXOue2J3FuPe4vSXEGdWWuFPDW5UPc9MCueYsCi42MTcwGh+M33hV4Ti4H29evjvXelbQsF3SnGZ+cmQ1aQQFuKoeyDUtLqvmUYjP7EPD3QE/+0OeAjzvnVuE9D84xs2OAk4AVwDuBq5M4t9b3VgsKKOXLATfeXzqgwNyB77BpvuVMzY1aG5IOaW0s6ulm+/rVs4kkx0JaTFp3Iq2oHutUHgPeWvD9scAP818PA6cCbwI2O+dyzrkngS4zG0jg3Jbhr6aW2ike+C6VvDGOqKzCYTP2ioOF1p1IO6l595dz7kYzW1JwKOWc8//cxoBFQB/wQsE5/vFqz42UyaTo719Y3g3VwKW3PMS/bH9KW/2GSKdgv650WYkfix28qIf1px3JW5YfPHvsvBMPY/+FWTbe8TDP7BnnoIBzADKZdOjvycVnGB+76cE5ZevpTnPxGcbGOx7m6T3j837moEU9s9e7+f6nGZ+a31Lxr9EMv59xRNWR7NMJ9dSIgfrCJ0MvsBsYzX9dfLzacyNNT+fYvXtvOWVP3KfvfJgb79/V0DI0u5kcbDhtacVbI/dlM1ywcjGrF/fP+/devbif1e8/Yc6x4nP6+xeG/p6sXtw/p2z+OMnqxf28tHJx4DTkC1YuZvfuvaHTxxf1dLH+za8NLG+ziqoj2add6mlgoDf0tUYElfvM7GTn3A+ANcD3gUeBz5rZVcCrgbRz7nkzq/bcpja8Y0QBJYZFPV1zZl6Vu5bHT9wItdm7PWzNSKlFimGD/Au6Mxqgl5bViKCyHrjOzPYDdgA3OOemzWwLcDfeOM+6JM6t2x1VSFll48kVDU4UPpTjTuFt1N7tUYsUo7YjFmlVqeI/2E4yOTmda2RT9ISNd2kcJYYU0VN84y4+LHWdMLXqsvBzgxXzk1G2knbp1qm1dqmngYHee4Hjgl5TluIG6pTZPUO9Wd62fKjiny9VT2uWDXLL+Stmp+kmMVW4HpKYfSbSbBRU6iRoA6agh0o7Ghmb4COnHsmintK9rUk8ZFvlYb1m2SAbTl/KUG+WFF7wVWoWaXXq/qpDUzRoYNlPRghwyW2u5mWotRSEzsryu3NKDbD7e6wnkX23uEusmiy+7dJlUUuqo3japZ6iur+U+ythQQ+zoFk+/sDxLeevCM1D1ZfNhOanaiZvWz7E8kMWzUvXD3NbCP5DPeq8pLLvKouvSGO0f99LHfmfxHeNTZBj35awYQPH/iyfi045gq6ilB5dKe941I6BSYnTLVXITz+STu0LKFdsfmReoOjLZuZ156xZNsid6944uxuiun1E2otaKgkKa5GEJYn0B47D1jMAvDxZ+5bKRBkJEdMp2PYXc2dQhe0fsnC/rtBAoZaESHtSUElQ2PqCmZzXvRO1/WvxQ7Zem3WlU5T1HucePX8Wl9ZbiIhP3V8JikouWO4sn3ps1tXTnY6d7sTv6vrIqUfOe00JEUXEp5ZKgtauWhI4y6uSAeikP+X3dKU566gD5+ylfvEZxpW3u5Kr0kstxou6bxHpLGqpVCBozQkku+6gkk/5xx/aN/vei3q66Mtm5pRj+SHzEzeXWisTJzgU3/eini72y6S49DY3p35EpP1pnUqZc8aj1pwEbTVb6VqJUmMqXSnYP9vF6PhUrGsHlrs7zYbTvLUyfjn7errI5XKMTUxXtL6jnPppFe2ytqCWVEfxtEs9aZ1KgqLWnEQNtPvTiyFeptyoNR0A5xwdPL5RVrkn962VSeqBH7d+RKQ9qfurTHFnOkU9XONas2yQBd2ZwNe2Pv5i7OsEla/U8UppJphIZ1NQKVPcmU5JPVyTuk69ZmhpJphIZ1NQKVPcZIVJPVyTuk5gubuTn6HVKskcRaQ2FFTKFHeGV1IP16SuE1TuvzrntxIf51DmXZHOptlfNZyJkVSm3CQz7hZql5kotaZ6Kk11FE+71JNmfzWIMu6KSKdR95eIiCRGQUVERBLTVt1fZpYGNgHLgQng/c65RxtbKhGRztFuLZXfB3qccycCHwE2Nrg8IiIdpa1aKsCbgO8AOOd+YmaBsxN8mUyK/v6FdSlYM8pk0h19/3GpnkpTHcXTCfXUbkGlD9hT8P20mXU55+YnzwLS6fTz6TRP1KdozSmdDk4DI3OpnkpTHcXTJvW0OOyFdgsqo0BvwffpsICSN1Dj8oiIdJR2G1PZCpwJYGZvAH7W2OKIiHSWdmupfBM4zcx+DKSA9za4PCIiHaWj07SIiEiy2q37S0REGkhBRUREEqOgIiIiiWm3gXopYGYrgM845042syOA64Ec8CCwzjk3Y2aXAmcBU8CFzrntYec24h5qxcy6gS8BS4As8JfAz1EdzWFmGeA6wIBpvMkvKVRP85jZgcC9wGl4dXA9HVhHaqm0KTP7EPD3QE/+0OeAjzvnVuE9FM4xs2OAk4AVwDuBq8POrWfZ6+QPgBfy97gG+AKqoyBnAzjnVgKX4N236qlI/kPKF4GX84c6to4UVNrXY8BbC74/Fvhh/uth4FS8tDabnXM559yTQJeZDYSc226+Dnyi4PspVEfzOOe+BZyf/3YxMILqKchVwDXA0/nvO7aOFFTalHPuRmCy4FDKOefPHx8DFjE/rY1/POjctuKc+0/n3JiZ9QI3AB9HdRTIOTdlZv8E/C1eXameCpjZe4DnnHO3Fxzu2DpSUOkchX20vcBu5qe18Y8Hndt2zOxQ4PvAV5xzX0N1FMo594fAkXjjKwsKXlI9wfvwFl3/AHg98GXgwILXO6qOFFQ6x31mdnL+6zXAFry0NmeYWdrMXoOXK+35kHPbipkNApuBDzvnvpQ/rDoqYmbvNrOP5r/di/cA/KnqaR/n3Grn3EnOuZOB/wD+FzDcqXWk2V+dYz1wnZntB+wAbnDOTZvZFuBuvA8Y68LObUSBa2wDcADwCTPzx1Y+CHxedTTHN4B/NLO7gG7gQrz71e9StI79e1OaFhERSYy6v0REJDEKKiIikhgFFRERSYyCioiIJEZBRUREEqMpxSJlMLPfBj6Gl8OpH3geuBX4mHPuhYDz3wN8wDl3XMBrq/AWXi6J+d5/hJfP7R3Oua9Xeg8itaSWikhMZvYG4Md42YyPB/YHVgO/AWw2s1Q513PObYkbUPLOB/4B+NNy3kekntRSEYlvE/B559zlBcd+aWZ/DFwG9JvZfXgr9d8G/BuwLexi+VXUN+Cl9HgCuMA5d2v+tTcD/wy8Op8y/WjgtXhp1Z80s+XOufsLrvN3wC+BN+AlEn0A+BvgDLyV8NfgbYOQM7P/CnweWJl/70eBP3HOba2qdkRQS0Uklnxajd/B636awzn3snPuw865F/OHXgO8GvhwnGvn9874Kl46dN+7gK8W7Kvxv4EvO+dGga8AHyi6zOvwMi+/GvhR/pwccBhwMl6q//fkz/1s/v/L8LrwfgR8Ok5ZRUpRS0UknoPz//+Vf8DM/g/wJ/lv98N78APc6Jx7GXjZzOJe/8vAT8ysBy+/1lvxggFmtgAvyJyYP/caYLuZfaggkOWArznnJsxsCC+H1IBz7iXgJTO7Ml++f8QbE9qLl+5/CV4Cw0PiFlQkioKKSDzP5v9/EF5XFc65jwIfBTCznwKZ/Dm7yr24c+7nZvYw3q6A08BTzrkH8i//D7x06D8oCFILgD/C28cD4EXn3ET+69fgbfb0WMH5aeDX+a8Pxusa+03gF/nj6rWQROgXSSQG59zjeFu9vi/G6ZUm1PsK8N+Bd+S/9p2P15X2+oL//hxYa2b+33Dhez6D1woZdM71O+f68TbYWp1//V+BbwGvyu/oqJlkkhi1VETi+2PgdjObBr7onBsxsyXAnwHL2deaKdZtZq8uOvbrgPO+hrcbZRq4CMDMjsKbaXaOc+45/0Qzux5vHOQsvI2dZjnnnspnw/1MPm39ArzA8TTwbrzNol7KD9ovwwtY3bFqQKQEtVREYnLO/QQ4Dm/w+14zewlvivEQcKJz7raQHz0aeKrov3cFXP85vLToP3XO+dvSng98tzCg5M/dg9faKB6w950HDAI7gUfwAoqfav184GIzG8VLbX89MJCfFSZSFaW+FxGRxKilIiIiiVFQERGRxCioiIhIYhRUREQkMQoqIiKSGAUVERFJjIKKiIgkRkFFREQS8/8BPIDYrRBrdPYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Deleting outliers\n",
    "train = train.drop(train[(train['GrLivArea']>4000) & (train['SalePrice']<300000)].index)\n",
    "\n",
    "#Check the graphic again\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(train['GrLivArea'], train['SalePrice'])\n",
    "plt.ylabel('SalePrice', fontsize=13)\n",
    "plt.xlabel('GrLivArea', fontsize=13)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 目标变量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " mu = 180932.92 and sigma = 79467.79\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(train['SalePrice'] , fit=norm);\n",
    "\n",
    "# Get the fitted parameters used by the function\n",
    "(mu, sigma) = norm.fit(train['SalePrice'])\n",
    "print( '\\n mu = {:.2f} and sigma = {:.2f}\\n'.format(mu, sigma))\n",
    "\n",
    "#Now plot the distribution\n",
    "plt.legend(['Normal dist. ($\\mu=$ {:.2f} and $\\sigma=$ {:.2f} )'.format(mu, sigma)],\n",
    "            loc='best')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('SalePrice distribution')\n",
    "\n",
    "#Get also the QQ-plot\n",
    "fig = plt.figure()\n",
    "res = stats.probplot(train['SalePrice'], plot=plt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### log 变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " mu = 12.02 and sigma = 0.40\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#We use the numpy fuction log1p which  applies log(1+x) to all elements of the column\n",
    "train[\"SalePrice\"] = np.log1p(train[\"SalePrice\"])\n",
    "\n",
    "#Check the new distribution \n",
    "sns.distplot(train['SalePrice'] , fit=norm);\n",
    "\n",
    "# Get the fitted parameters used by the function\n",
    "(mu, sigma) = norm.fit(train['SalePrice'])\n",
    "print( '\\n mu = {:.2f} and sigma = {:.2f}\\n'.format(mu, sigma))\n",
    "\n",
    "#Now plot the distribution\n",
    "plt.legend(['Normal dist. ($\\mu=$ {:.2f} and $\\sigma=$ {:.2f} )'.format(mu, sigma)],\n",
    "            loc='best')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('SalePrice distribution')\n",
    "\n",
    "#Get also the QQ-plot\n",
    "fig = plt.figure()\n",
    "res = stats.probplot(train['SalePrice'], plot=plt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Features engineering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
